If X is a normal random variable with a mean of 45 and a standard deviation of 8, find the following probabilities:
a. P(X $\geq$ 50).
b. P(X $\leq$ 32).
c. P(37 $\leq$ X $\leq$ 48).
d. P(50 $\leq$ X $\leq$ 60).
e. P(X = 45).

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The Answer of If X is a normal random variable with a mean of 45 and a standard deviation of 8, find the following probabilities:
a. P(X $\geq$ 50).
b. P(X $\leq$ 32).
c. P(37 $\leq$ X $\leq$ 48).
d. P(50 $\leq$ X $\leq$ 60).
e. P(X = 45).

If X Is a Normal Random Variable with a Mean ≥\geq≥

If X Is a Normal Random Variable with a Mean $\geq$